What is the Least Common Multiple of 82044 and 82051?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 82044 and 82051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82044 and 82051, than apply into the LCM equation.

GCF(82044,82051) = 1
LCM(82044,82051) = ( 82044 × 82051) / 1
LCM(82044,82051) = 6731792244 / 1
LCM(82044,82051) = 6731792244

Least Common Multiple (LCM) of 82044 and 82051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82044 and 82051. First we will calculate the prime factors of 82044 and 82051.

Prime Factorization of 82044

Prime Factorization of 82051

Now multiplying the highest exponent prime factors to calculate the LCM of 82044 and 82051.

LCM(82044,82051) = 2² × 3² × 43¹ × 53¹ × 82051¹
LCM(82044,82051) = 6731792244